Detection of monopoles and vortices in SU(2) Yang-Mills theory

TL;DR

This paper develops a method to identify and analyze monopoles and vortices in SU(2) Yang-Mills theory, revealing their coexistence and interactions through a specialized Lagrangian formulation.

Contribution

It introduces a novel approach using Cho decomposition and gauge transformations to explicitly detect and study monopoles and vortices simultaneously in lattice QCD.

Findings

Monopoles and vortices can coexist in SU(2) Yang-Mills configurations.

A Lagrangian density explicitly describes the interaction between these magnetic defects.

The method enhances understanding of magnetic structures in non-Abelian gauge theories.

Abstract

Motivated by the correlated monopoles and vortices observed in lattice QCD, using Cho decomposition method and two successive gauge transformations which lead to the observation of configurations that include both monopoles and center vortices simultaneously, we obtain a Lagrangian density that explicitly indicates these two magnetic defects and the interaction between them.